The amounts of nicotine in a certain brand of cigarette are
normally distributed with a mean of 0.958 g and a standard
deviation of 0.298 g. The company that produces these cigarettes
claims that it has now reduced the amount of nicotine. The
supporting evidence consists of a sample of 36 cigarettes with a
mean nicotine amount of 0.859 g.
Assuming that the given mean and standard deviation have
NOT changed, find the probability of randomly seleting 36
cigarettes with a mean of 0.859 g or less.
P(M < 0.859 g) =
Enter your answer as a number accurate to 4 decimal places. NOTE:
Answers obtained using exact z-scores or z-scores
rounded to 3 decimal places are accepted.
Assume that any probability below 5% is sufficient to conclude that
the new product really have lower nicotine. Based on the result
above, is it valid to claim that the amount of nicotine is
lower?
Here it is given that distribution is normal with mean=0.958 and standard deviation=0.298
For n=36, we need to find
Here population is normal so sample mean is also normal, hence we can convert M to z
As probability is less than 5% we conclude
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
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